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97298288640 = 2123657319
BaseRepresentation
bin101101010011101101…
…1100001000000000000
3100022010212220012000000
41122213123201000000
53043231330214030
6112410452000000
710013066544000
oct1324733410000
9308125805000
1097298288640
113829a3903a3
1216a35000000
139237b77077
1449d0304000
1527e6e67860
hex16a76e1000

97298288640 has 1456 divisors, whose sum is σ = 429732624000. Its totient is φ = 21069103104.

The previous prime is 97298288627. The next prime is 97298288669. The reversal of 97298288640 is 4688289279.

97298288640 is a `hidden beast` number, since 9 + 7 + 298 + 288 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5120962551 + ... + 5120962569.

Almost surely, 297298288640 is an apocalyptic number.

97298288640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97298288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214866312000).

97298288640 is an abundant number, since it is smaller than the sum of its proper divisors (332434335360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

97298288640 is an frugal number, since it uses more digits than its factorization.

97298288640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 97298288640 in words is "ninety-seven billion, two hundred ninety-eight million, two hundred eighty-eight thousand, six hundred forty".